these inequalities can be solved just like equations
a. x - 7 > 25
+ 7 +7 x > 32the number line would have a filled in circle at 32 with an arrow pointing to the rightb. x - 8 < 5+8 +8x < 13 the number line would have an empty circle at 13 with an arrow pointing to the leftc.x + 11 > 23 - 11 - 11x > 12the number line would have an empty circle at 12 with an arrow pointing to the rightd. x + 12 < 6 - 12 - 12 x < -6the number line would have a filled in circle at -6 with an arrow pointing to the lefta. 21 < x + 18 -18 -18 3 < xx > 3b. 16 < x - 7 + 7 + 7 23 < x x > 23c. 12 > x - 7 + 7 + 7 19 > x x < 19d. 29 < x + 53 - 53 - 53 -24 < x x > -24e. 15 > x + 19 -19 -19 -4 > x x < -4f. 35 > x - 8 +8 +8 43 > x x < 43g. -6 < x - 18 +18 +18 12 < x x > 12h. -15 < x - 2 + 2 +2 -13 < x x > -13
$15 x .0725 = 1.0875 which we have to round to $1.09
Notice how I changed the 7.25% to a decimal .0725 by moving it back two places.
Answer:
The dots above the number 3 represent that 5 students have 3 email accounts
Step-by-step explanation:
each dot represents 1 out of the 25 students
The 3 on the horizontal line is Number of Email Accounts
Visual representation:
Answer:
Step-by-step explanation:
If there are options, please share them.
Subtract 7 from both sides. We obtain: -2x^2 + 3x - 3. The coefficients of this quadratic are a = -2, b = 3 and c = -3. Thus, the discriminant is
b^2 - 4ac, or 3^2 - 4(-2)(-3), or 9 - 24, or -15. Because the discriminant is negative, this quadratic has two complex roots which differ:
-3 ± i√15
x = -----------------
-4
